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Quantitative Physiology: Cells and Tissues Lecture 21: October 27, 2006(Volume 2: 4.2.3-4.2.3.1)Stellate ganglionSiphonMantle nerveTentaclesFigure 1.28AxonWireAxonie(t)1.6 cm 1.6 cm1 ms100 mVV1(t) V2(t) V1(t) V2(t)V1(t) V2(t)ie(t)V1(t) & V2(t)Figure 2.15+−Jm(t)Vm(t)Figure 4.10Depolarizing stepHyperpolarizing stepPersistent, lateoutward currentTransient, early,inward currentBrief surgeof outwardcurrentttJm(t)Vm(t)VimVfmFigure 4.12+−+−+−+−MembraneIntracellularExtracellularJCJKJN aJLGK(Vm, t) GN a(Vm, t)GLVKVN aVLVmJmCmFigure 4.60 20 40 60 80Time (µs)024−2−4MeasurementTheory (points)−40400JC(t) (mA/cm2)Vm(t) − Vom(mV)Figure 4.13tttVm(t)JKVimVfmV(1)NaV(2)NaV(3)NaJ(1)ionJ(2)ionJ(3)ionJ(1)NaJ(3)NaJion(t)Figure 4.17 −500050010001500200025003000−50 0 50 100 150 200 250Slope = 1/FV+−RIK42SeawaterOutward flux (pmol/cm2·s)Outward current density (µA/cm2)Figure 4.180102030−80 −40 0 40Membrane potential (mV)CurrentTracer+−ttJm(t)VmVm(t)JN aFlux (pmol/cm2·pulse)QN aFigure 4.1902.50 5 10 15Time (ms)Sodium currentPotassiumcurrent0 5 10 201500.4−0.4Current density (mA/cm2)Figure 4.200 2 4 0 2 4 6 8Time (ms)109 mV 109 mV88 mV 88 mV63 mV 63 mV38 mV 38 mV26 mV 26 mV100100100100100100100100100100t tVm(t) Vm(t)VimVfmVimVfmGNa(mS/cm2)GK(mS/cm2)Figure 4.23Hodgkin Huxley model+−+−+−+−MembraneIntracellularExtracellularJCJKJN aJLGK(Vm, t) GN a(Vm, t)GLVKVN aVLVmJmCm      !" # "$&%' )(# *(+",- . "$&% (/ (01,- ! 2"$&%435 6)(! 7(8!, 9−100 −75 −50 −25 25 50 750.20.40.60.81−100 −75 −50 −25 25 50 752468 (ms)−100 −75 −50 −25 25 50 750.10.30.40.5 (ms)0.2τmτmτnτhm∞n∞h∞Vm(mV)Vm(mV):<; =>,?A@CB, andDEF>G @mS/cmH;IJK;MLF/cmH;NPO:RQ5S;,NUT:WV>,NPO8=>GX;;,NTYQ5>>mmol/L;DZE[\QCSmV; temperature isBG


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MIT 6 021J - Quantitative Physiology: Cells and Tissues

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